SOLITARY WAVE, BREATHER WAVE AND ROGUE WAVE SOLUTIONS OF AN INHOMOGENEOUS FIFTH-ORDER NONLINEAR SCHRODINGER EQUATION FROM HEISENBERG FERROMAGNETISM

被引：23
|
作者：
Feng, Lian-Li [1 ,2 ]
Tian, Shou-Fu [1 ,2 ]
Zhang, Tian-Tian [1 ,2 ]
机构：
[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China
[2] China Univ Min & Technol, Inst Math Phys, Xuzhou 221116, Jiangsu, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2019年 / 49卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Fifth-order nonlinear Schrodinger equation; Darboux transformation; breather waves; rogue waves; solitary waves; SOLITONS;
D O I：
10.1216/RMJ-2019-49-1-29
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism, which describes the dynamics of a site-dependent Hisenberg ferromagnetic spin chain. Based on its Lax pair, we study the determinant representation of the n-fold Darboux transformation (DT). Furthermore, by using the n-fold DT, we obtain the higher-order solitary wave, breather wave and rogue wave solutions of the equation, respectively. Finally, the dynamic characteristics of these exact solutions are discussed.
引用
收藏
页码：29 / 45
页数：17
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